# Data for modular curve with label 168.96.1-168.ef.2.18, downloaded from the LMFDB on 01 June 2024.
{"label": "168.96.1-168.ef.2.18", "coarse_level": 168, "coarse_index": 48, "genus": 1, "coarse_label": "168.48.1.ef.2", "coarse_class": "168.48.1.ef", "coarse_class_num": 110, "coarse_num": 2, "level": 168, "index": 96, "fine_num": 18, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[13, 64, 152, 75], [15, 92, 28, 163], [37, 120, 0, 137], [105, 20, 104, 129], [145, 26, 4, 99]], "canonical_generators": [[1, 0, 8, 1], [1, 4, 136, 147], [1, 4, 160, 75], [1, 8, 0, 1], [1, 42, 84, 1], [3, 2, 104, 33], [9, 8, 160, 161], [41, 126, 84, 41], [163, 166, 32, 67], [167, 166, 64, 105]], "parents": ["8.48.0-8.e.1.15", "168.48.0-8.e.1.3", "168.48.0-168.t.1.2", "168.48.0-168.t.1.36", "168.48.1-168.d.1.8", "168.48.1-168.d.1.35"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.12.0.b.1", "4.12.0.b.1", "4.12.0.b.1", "4.12.0.b.1", "8.48.0-8.e.1.15", "8.48.0-8.e.1.15", "8.48.0-8.e.1.15"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [7, 48, 1], [8, 8, 6], [12, 16, 2], [12, 32, 2], [14, 48, 3], [21, 384, 1], [24, 64, 6], [28, 96, 2], [28, 192, 2], [42, 384, 3], [56, 384, 6], [84, 768, 2], [84, 1536, 2], [168, 3072, 6]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [7, 24, 1], [8, 4, 4], [8, 8, 1], [12, 8, 2], [12, 16, 2], [14, 24, 3], [21, 192, 1], [24, 32, 4], [24, 64, 1], [28, 48, 2], [28, 96, 2], [42, 192, 3], [56, 192, 4], [56, 384, 1], [84, 384, 2], [84, 768, 2], [168, 1536, 4], [168, 3072, 1]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [7, 8, 1], [8, 2, 2], [8, 4, 2], [12, 4, 2], [12, 8, 2], [14, 8, 3], [21, 32, 1], [24, 8, 2], [24, 16, 2], [28, 8, 2], [28, 16, 2], [42, 32, 3], [56, 16, 2], [56, 32, 2], [84, 32, 2], [84, 64, 2], [168, 64, 2], [168, 128, 2]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 8, "sl2level": 8, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 3]], "cusp_widths": [[4, 4], [8, 4]], "psl2label": "8.48.1.b.1", "sl2label": "8.48.1.b.1", "CPlabel": "8G1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": [1], "mults": [1], "traces": null, "trace_hash": null, "simple": true, "squarefree": true, "power": true, "conductor": null, "log_conductor": null, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 3, 7], "num_bad_primes": 3, "level_radical": 42, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": 0, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null, "coarse_parents": ["8.24.0.e.1", "168.24.0.t.1", "168.24.1.d.1"]}